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Название: Evidence for the Poisson Distribution for Quasi-Energies In the Quantum Kicked-Rotator Model
Автор: Pellegrinotti A.
A transformation on the two-dimensional torus which is related to the problem of limit distribution for the distance between the levels in the kicked-rotator model is considered. The first four moments of the r.w. which describe the numbers of visits of a point in a rectangle of measure z are calculated. It is shown that when e -> 0 they converge to the first four moments of a Poisson r.w.